The Projection Method of Fast Decreasing Functions for Multifractal Measure and Image Singularity Analysis

Xiao Liang; Wu HuiZhong; Wei ZhiHui

Volume 27 Issue 8

Aug. 2005

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Yang Hongchun, Ruan Chengli, Yang Chun, Lin Weitao. The study of axial energy decaying property influenced by pulse waveform[J]. Journal of Electronics & Information Technology, 2003, 25(10): 1430-1435.

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Xiao Liang, Wu HuiZhong, Wei ZhiHui. The Projection Method of Fast Decreasing Functions for Multifractal Measure and Image Singularity Analysis[J]. Journal of Electronics & Information Technology, 2005, 27(8): 1182-1186.

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The Projection Method of Fast Decreasing Functions for Multifractal Measure and Image Singularity Analysis

Xiao Liang^{①;吴慧中},
Wu HuiZhong,
Wei ZhiHui

Received Date: 2004-03-24
Rev Recd Date: 2004-09-13
Publish Date: 2005-08-19

Abstract

Abstract

The framework for image singularity analysis based on multifractal theory is presented in this paper. The measure is defined which gives the local distribution of the gradient of the image. The exponential formalism between the projection of fast decreasing functions of the defined measure and scale is proved. According to the exponential formalism, the paper also presented an algorithm, in which the nature image can be decomposed in a serial fractal sets with different singularity exponent and fractal dimension. Finally, some basic theoretical results of the choice for the fast decreasing functions are proposed. Also an investigation of how to reconstruct the different fractal image components with derivative information contained in the different fractal sets is made. Experiments show that the multifractal formalism has significance in image singularity analysis and detection.

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References(1)

References

Pentland A. Fractal-based description of nature scene. IEEE Trans.on PAMI, 1984, 6(6): 661 - 674.[2]Crowvnoer R M. Fractal features in image analysis. Technical report, Missouri- Columbia Univ., 1984.[3]Vehel L J. Multifractal segmentation[J].Fractals.1994, 2(3):371-[4]Vehel L J. Introduction to the multifractal analysis of images.Fractal Image Encoding and Analysis, Fisher Y Ed. Springer Verlag, 1998, Chapter 17:331 - 401.[5]Guiheneuf B, Vehel L J. Image enhancement through multifractal analysis. Technical report, INRIA, 1996.[6]刘文予,朱耀庭,朱光喜.基于DFBIR场图像模型的纹理分割.模式识别与人工智能,1992,5(2):116-122.[7]李军,庄镇泉,高清维,李海鹰.基于多重分形的图像边缘检测算法.电路与系统学报,2001,6(3):16-19.[8]吴更石,梁德群,田原.基于分形维数的纹理图像分析.计算机学报,1999,22(10):1109-1113.[9]乔应军.信号奇异性分析[J].电子与信息学报.2001,23(11):1231-1235浏览[10]Decoster N, Roux S G, Ameodo A. A wavelet-based method for multifractal image analysis.Ⅱ.Application to synthetic multifractal rough surface. European Physical Journal B, 2000, 3(15):739 - 704.[11]Turiel A, Parga N, et al.. The multi-fractal structure of contrast changes in natural images: from sharp edges to texture[J].Neural Computation.2000, 12(4):763-[12]Turiel A, Mato G, et al.. The self-similarity properties of natural images resemble those of turbulent flows[J].Physical Review Letters.1998, 80 (5):1098-[13]Turiel A, Pozo A D. Reconstructing images from their most singular fractal manifold[J].IEEE Trans. on Image Processing.2002, 11(4):345-

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